Abstract
A. Rubinstein's similarity-relation approach to decision making under uncertainty is extended by introducing a new concept of correlated similarity relations. It is shown that every expected utility preference is consistent with the ε-difference similarity relation on the prize space and some correlated similarity relations on the probability space, and that a similarity relation on the prize space and correlated similarity relations on the probability space overdetermine the preference (in A. Rubinstein's sense).
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Aizpurua, J.M., Ichiishi, T., Nieto, J. et al. Similarity and preferences in the space of simple lotteries. J Risk Uncertainty 6, 289–297 (1993). https://doi.org/10.1007/BF01072616
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DOI: https://doi.org/10.1007/BF01072616